find the 53rd term of the arithmetic sequence -12, -1, 10,

9514 1404 393

Answer:

  14 units

Step-by-step explanation:

The angle bisector divides the sides proportionally.

  BD/BA = CD/CA

  (x+4)/8 = (2x+1)/12

  3(x +4) = 2(2x +1) . . . . . multiply by 24 (the least common denominator)

  3x +12 = 4x +2 . . . . . . . eliminate parentheses using the distributive property

  12 = x +2 . . . . . . . subtract 3x

  10 = x . . . . . . . . . subtract 2

Then the length of BD is ...

  BD = x +4

  BD = 10 +4 . . . . substitute the value of x

  BD = 14

Answer:

The answers are, in order:

1. Isolate

2. substitute

3. variable

Step-by-step explanation:

You're welcome :)

Answer:

CAUSE I FEEL THE BREK FEEL THE BREK FELLLLLLL THE BREKK

Step-by-step explanation:

{y,x} = {10,-5}

Step-by-step explanation:

sorry if this dont make sense

solve equation [2] for the variable y

y = 4x +30

plug this in for variable y in equation [1 ]

(4x+30) +3x= -5

solve [1] for the variable x

7x= - 35

x= - 5

by now we know this much

y= 4x+30

x= - 5

use the x value to solve for y

y=4 (-5) + 30 = 10

solution

{y,x} = {10,-5}

Answer:

Step-by-step explanation:

Given that:

The modeled equation y = 0.2x² - 0.4x - 0.6

To find x- intercepts

y = 0.2x² - 0.4x - 0.6

y = 0.2(x² - 2x - 3)

y = 0.2(x - 3)(x + 1)

Suppose the upward parabola cuts x axis at x = 3 and x = - 1

Then, the length of the intercepts will be = 3 -(-1)

=4

We can say that the trees will be 4 unit apart.

To find y-intercepts;

y = 0.2(0)² - 0.4(0) -0.6

y = -0.6 meters

Answer:

50-25? so the answer is twenty five?

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

Answer:

100 ft.

Step-by-step explanation:

Let x = height of tree

height/height = shadow length/shadow length

5/x = 2/40

2x = 200

x = 100 ft.

Answer:

Step-by-step explanation:

10). 1). Both the triangles are not similar.

     2). For the similarity of two triangles, corresponding sides of the triangles should be proportional and the included angles should be equal in measure.

         Although the angle given is equal but the corresponding sides of the triangles are not proportional, triangles are not similar.

          [tex]\frac{UW}{HF}= \frac{UV}{GF}[/tex] (For similar triangles)

          [tex]\frac{9}{21}= \frac{18}{42}[/tex]

          [tex]\frac{3}{7}=\frac{6}{7}[/tex]

          But [tex]\frac{3}{7}\neq \frac{6}{7}[/tex] therefore, both the triangles are not similar.

11). In ΔTUV and ΔCDE,

    If the given triangles are similar, their corresponding sides will be proportional and the included angle will be equal in measure.

    ∠C ≅ ∠T [Given]

    [tex]\frac{TU}{CD}= \frac{UV}{DE}[/tex]

    [tex]\frac{30}{10}=\frac{27}{9}[/tex]

    3 = 3

    True.

    Therefore, ΔTUV ~ ΔCDE (By SAS postulate of similarity]

Answer:

21.99

Step-by-step explanation:

C = 2 * Pi * (r)

Diameter = 7

Radius = 3.5

Pi

21.99

Answer: I cannot answer it because it needs more details. For ex say how much day he/she needs and how much pages he/she will read.

Step-by-step explanation: Unknown

Answer:

15a + 10b = 100

Step-by-step explanation:

Given:

Cost of each lawn mowed = $15

Cost of each babysitting = $10

Total money earned = 100

Find:

Algebra form

Computation:

Assume;

Number of lawn mowed = a

Number of babysitting = b

So,

15a + 10b = 100

Answer:

Step-by-step explanation:

The question is kind of confusing but I think the answer is A.

Answer:

C is the correct answer

Step-by-step explanation:

I did this exact one and it was right I hope this helps! Have a good day! :)

Proof:

Answer:

Step-by-step explanation:

a. 7*7*7= 7 cubed(when we divide powers we subtract them)

Answer:

x = 4

pls mark as brainliest...

Answer:

x=4

Step-by-step explanation:

4x+y=10 then, plug in y

4x+(-6)=10 then, isolate x by adding 6to both sides,

+ 6 +6 then, divide by 4 on each side

4x/4=x

16/4=4

x=4

Answer:

First, write the  

✔ formula: d = rt

.

Next, use parentheses when you substitute  

✔ 125

in for r and  

✔ 3.2

in for t.

Now, simplify by  

✔ multiplying

125 and 3.2.

Jeff raced for a distance of  

✔ 400

miles.

Step-by-step explanation:

Step-by-step explanation:

since KLJ is a parallelogram, it can be split into 2 congruent triangles, as seen above. The angles remain the same, so we know angle KJL is also 25 degrees. Using the triangle angle sum theorem (all sides of a triangle add up to 180 degrees), we can determine the missing angle measure is 25 degrees. It would have been nice if the question told us JKLM was also a rhombus.

Answer:

26%

Step-by-step explanation:

I did some simple math here: a percentage represents a number over 100.

To find the percentage, I just divided 78 by 300 and got 0.26

I then multiplied by 100 to get 26%

Hope this helps! Have a great day!

9514 1404 393

Answer:

  QS

Step-by-step explanation:

The circumference is pi times the diameter. The only segment shown that is a diameter is QS.

Answer:

y=x-2

Step-by-step explanation:

we know that y-intercept is -2

y=?x-2

So now we would have to find slope

the slope would be 1

soo that makes the equation would be

y=x-2

I hopes this helps.

Have a good day!!

Answer:

x=-6

Step-by-step explanation:

Answer:

[tex]4(x + 1)^{2}(x - 1)^{2}[/tex]

Step-by-step explanation:

STEP 1:

The equation at the end of step 1

[tex]((4 (x^4)) - 2^3x^2) + 4[/tex]

STEP 2:

The equation at the end of step 2:

[tex](2^2x^4 - 2^3x^2) + 4[/tex]

STEP 3:

STEP 4: Pulling out like terms

4.1 Pull out like factors:

[tex]4x^4 - 8x^2 + 4 = 4(x^4 - 2x^2 + 1)[/tex]

Trying to factor by splitting the middle term

4.2 Factoring [tex]x^4 - 2x^2 + 1[/tex]

The first term is, [tex]x^4[/tex] its coefficient is 1.

The middle term is,  [tex]-2x^2[/tex]  its coefficient is -2.

The last term, "the constant", is +1.

Step-1: Multiply the coefficient of the first term by the constant   1 • 1 = 1

Step-2: Find two factors of  1  whose sum equals the coefficient of the middle term, which is -2.

-1 + -1 = -2 That's it

Step-3: Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -1  and  -1

                    x4 - 1x2 - 1x2 - 1

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x2 • (x2-1)

             Add up the last 2 terms, pulling out common factors :

                    1 • (x2-1)

Step-5 : Add up the four terms of step 4 :

                   (x2-1)  •  (x2-1)

            Which is the desired factorization

Trying to factor as a Difference of Squares:

4.3      Factoring:  x2-1

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check : 1 is the square of 1

Check :  x2  is the square of  x1

Factorization is :       (x + 1)  •  (x - 1)

Trying to factor as a Difference of Squares:

4.4      Factoring:  x2 - 1

Check : 1 is the square of 1

Check :  x2  is the square of  x1

Factorization is :       (x + 1)  •  (x - 1)

Multiplying Exponential Expressions:

4.5    Multiply  (x + 1)  by  (x + 1)

The rule says : To multiply exponential expressions which have the same base, add up their exponents.

In our case, the common base is  (x+1)  and the exponents are :

         1 , as  (x+1)  is the same number as  (x+1)1

and   1 , as  (x+1)  is the same number as  (x+1)1

The product is therefore,  (x+1)(1+1) = (x+1)2

Multiplying Exponential Expressions:

4.6    Multiply  (x-1)  by  (x-1)

The rule says : To multiply exponential expressions which have the same base, add up their exponents.

In our case, the common base is  (x-1)  and the exponents are :

         1 , as  (x-1)  is the same number as  (x-1)1

and   1 , as  (x-1)  is the same number as  (x-1)1

The product is therefore,  (x-1)(1+1) = (x-1)2

Final result :

 4 • (x + 1)2 • (x - 1)2

Answer:

6.) 1,000,000

Step-by-step explanation:

Answer:

ye

Step-by-step explanation:

Answer:

We conclude that the total amount accrued, principal plus interest,  from compound interest on an original principal of  $2500 at a rate of 5% per year compounded 6 times per year over 8 years is $3723.38.

Step-by-step explanation:

Given

Principle P = $2500

Interest rate r = 5% = 0.05

Time period t = 8 years

To determine

Accrue Amount A = ?

Using the compound interest equation

[tex]A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}[/tex]

where:

A represents the Accrue Amount

P represents the Principal Amount

r represents the interest rate

t represents the time period in years

n represents the number of compounding periods per unit t

Important tip:

now substituting P = 2500, r = 0.05, t = 8 and n = 6 in the equation

[tex]A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}[/tex]

[tex]A=2500\left(1+\frac{0.05}{6}\right)^{\left(6\right)\left(8\right)}[/tex]

[tex]\:A=2500\left(1+\frac{0.05}{6}\right)^{48}[/tex]

[tex]A=2500\times 1.48935[/tex]      ∵  [tex]\left(1+\frac{0.05}{6}\right)^{48\:\:}=1.48935[/tex]

[tex]A=\:3723.38[/tex] $

Therefore, we conclude that the total amount accrued, principal plus interest,  from compound interest on an original principal of  $2500 at a rate of 5% per year compounded 6 times per year over 8 years is $3723.38.

Step-by-step explanation:

2527 is the first line so 5 in the box

then 47 so a 4 in that box

top answer row

315 E7 so a 5 in that box.

Answer:

triangle B and D

Answer:

one answer

x = 2

Step-by-step explanation:

Answer:

a = -3

b = -8

Step-by-step explanation:

Equation for a line is:

y-coordinate = (slope * x-coordinate) + y-intercept

For (3, -4): -4 = (-2 * 3) + y-intercept

y-intercept = 2

Equation for all points on this line is:

y = -2*x + 2

For (a, 8): 8 = (-2 * a) + 2

For (5, b): b = (-2 * 5) + 2

Answer:

11x+1x + 2+ 2

Step-by-step explanation: